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Finding the Third Proportional to 84,860 and 125,819

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Solution

The third proportional to 84,860 and 125,819 is: 186,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,860 : 125,819 = 125,819 : x
  2. Step 2: Convert to fraction form
    84,860/125,819 = 125,819/x
  3. Step 3: Cross multiply
    84,860x = 125,819 × 125,819
  4. Step 4: Simplify right side
    84,860x = 15,830,420,761
  5. Step 5: Solve for x
    x = 15,830,420,761/84,860
  6. Step 6: Final answer
    x = 186,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.